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Proof step 7 from proof junkrefs-put-badarrayfield (previous step)

is_obj(str, r, st), is_arraytype(st[r0 -- _type] .type), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_arraytype(st[r0 -- _type] .type) ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _length, fs ' = _type, r = jvmref, junkrefs(str, r ' + acc, ty, st), is_obj(str, r, st[r0 -- fs ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,r ≠ r0 → (is_obj(str, r0, st[r -- sk, val]) ↔ is_obj(str, r0, st)) ,[val, sk, r, st, r0, str] → [val, fs ', r0, st, r, str] ,F ,addfuns , ,is_obj-put-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype (st[r -- _type] .type) → ¬ is_obj(str, r, st)])], [EXTRATERMS : (val, fs ', r0, st, r, str)]]